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A physical quantity depends upon five factors, all of which have dimenstion; then method of dimensional analysis
- a)Can be applied
- b)Cannot be applied
- c)Depends upon factors involved
- d)Both a and c
Correct answer is 'B'. Can you explain this answer?
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A physical quantity depends upon five factors, all of which have dimen...
One of the limitation of Dimensional analysis is:
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The method of dimensions cannot be applied to derive formula if in mechanics a physical quantity depends on more than three physical quantities as then there will be less number (=3) of equations than the unknowns (>3). However, we can still check correctness of the given equation dimensionally.
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A physical quantity depends upon five factors, all of which have dimen...
Reasoning:
The method of dimensional analysis is a powerful tool used in physics to check the correctness of equations and derive relationships between physical quantities. It is based on the principle that physical quantities can be expressed in terms of fundamental dimensions such as length, mass, and time. However, not all physical quantities can be determined solely by their dimensions. Some quantities may also depend on other factors such as specific properties of the system or the environment. Therefore, the method of dimensional analysis cannot be applied universally to all physical quantities.
Explanation:
Dimensional Analysis:
Dimensional analysis is a technique used in physics to analyze and solve problems involving physical quantities. It is based on the principle that physical quantities can be expressed in terms of fundamental dimensions such as length, mass, and time. By examining the dimensions of various quantities, we can derive relationships between them and check the correctness of equations.
Dependence on Factors:
While dimensions play a crucial role in determining the behavior of physical quantities, there are often other factors involved that cannot be determined solely by their dimensions. These factors may include specific properties of the system or the environment in which the quantity is being measured. For example, the speed of sound depends not only on the fundamental dimensions of length, mass, and time but also on the properties of the medium through which it travels, such as temperature and pressure.
Application of Dimensional Analysis:
The method of dimensional analysis can be applied to physical quantities that depend solely on their dimensions. This means that the quantity can be expressed as a combination of the fundamental dimensions without the need for any additional factors. In such cases, dimensional analysis can be used to derive relationships between different quantities and check the correctness of equations.
Limitations of Dimensional Analysis:
However, not all physical quantities can be determined solely by their dimensions. Some quantities may depend on additional factors that cannot be determined solely by their dimensions. In such cases, the method of dimensional analysis cannot be applied, and other techniques must be used to analyze and solve the problem.
Conclusion:
In conclusion, the method of dimensional analysis can be applied to physical quantities that depend solely on their dimensions. However, it cannot be universally applied to all physical quantities as some may depend on additional factors that cannot be determined solely by their dimensions. Therefore, the correct answer to the given question is option B: Cannot be applied.
The method of dimensional analysis is a powerful tool used in physics to check the correctness of equations and derive relationships between physical quantities. It is based on the principle that physical quantities can be expressed in terms of fundamental dimensions such as length, mass, and time. However, not all physical quantities can be determined solely by their dimensions. Some quantities may also depend on other factors such as specific properties of the system or the environment. Therefore, the method of dimensional analysis cannot be applied universally to all physical quantities.
Explanation:
Dimensional Analysis:
Dimensional analysis is a technique used in physics to analyze and solve problems involving physical quantities. It is based on the principle that physical quantities can be expressed in terms of fundamental dimensions such as length, mass, and time. By examining the dimensions of various quantities, we can derive relationships between them and check the correctness of equations.
Dependence on Factors:
While dimensions play a crucial role in determining the behavior of physical quantities, there are often other factors involved that cannot be determined solely by their dimensions. These factors may include specific properties of the system or the environment in which the quantity is being measured. For example, the speed of sound depends not only on the fundamental dimensions of length, mass, and time but also on the properties of the medium through which it travels, such as temperature and pressure.
Application of Dimensional Analysis:
The method of dimensional analysis can be applied to physical quantities that depend solely on their dimensions. This means that the quantity can be expressed as a combination of the fundamental dimensions without the need for any additional factors. In such cases, dimensional analysis can be used to derive relationships between different quantities and check the correctness of equations.
Limitations of Dimensional Analysis:
However, not all physical quantities can be determined solely by their dimensions. Some quantities may depend on additional factors that cannot be determined solely by their dimensions. In such cases, the method of dimensional analysis cannot be applied, and other techniques must be used to analyze and solve the problem.
Conclusion:
In conclusion, the method of dimensional analysis can be applied to physical quantities that depend solely on their dimensions. However, it cannot be universally applied to all physical quantities as some may depend on additional factors that cannot be determined solely by their dimensions. Therefore, the correct answer to the given question is option B: Cannot be applied.
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Community Answer
A physical quantity depends upon five factors, all of which have dimen...
Generally we use it upto three but it is very poor method because it doesn't give us proper aspects of the physical quantity.. and also... we have many quantities which have same dimensions
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A physical quantity depends upon five factors, all of which have dimenstion; then method of dimensional analysisa)Can be appliedb)Cannot be appliedc)Depends upon factors involvedd)Both a and cCorrect answer is 'B'. Can you explain this answer?
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